Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-30T23:31:10.633Z Has data issue: false hasContentIssue false
  • English
  • Français

Bouncing solutions of an equation with attractive singularity

Published online by Cambridge University Press:  12 July 2007

Dingbian Qian  and
Pedro J. Torres
Dingbian Qian
Affiliation:
Department of Mathematics, Suzhou University, 215006 Suzhou, People's Republic of China([email protected])
Pedro J. Torres
Affiliation:
Universidad de Granada, Departamento de Matemática Aplicada, 18071 Granada, Spain([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

For any n, m ∈ N, we prove the existence of 2mπ-periodic solutions, with n bouncings in each period, for a second-order forced equation with attractive singularity by using the approach of successor map and Poincaré-Birkhoff twist theorem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 201 - 213
Copyright
Copyright © Royal Society of Edinburgh 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)